At a hockey game, a vendor sold a combined total of 252 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Well, well, well, it seems like the hockey fans were thirsty and hungry! Let's solve this mathematical mystery, shall we?
Let's assume the number of hot dogs sold is x. Since the number of sodas sold was three times the number of hot dogs, we can say that the number of sodas sold is 3x.
Now, according to the problem, the total number of sodas and hot dogs sold is 252. So we can set up an equation:
x + 3x = 252
Combining like terms, we get:
4x = 252
Dividing both sides by 4, we find:
x = 63
So, the number of hot dogs sold is 63.
And if the number of sodas sold is three times that, we have:
3x = 3 * 63 = 189
Therefore, the number of sodas sold is 189.
In summary, 189 sodas and 63 hot dogs were sold at the hockey game. Enjoy your snacks and slake your thirst, hockey fans!
Let's assume the number of hot dogs sold as 'x'.
According to the problem, the number of sodas sold is three times the number of hot dogs sold, which is 3x.
The total number of sodas and hot dogs sold is 252, so we can write the equation:
x + 3x = 252
Combining like terms, we get:
4x = 252
To solve for 'x', divide both sides of the equation by 4:
4x/4 = 252/4
x = 63
Therefore, the number of hot dogs sold is 63.
The number of sodas sold can be found by multiplying the number of hot dogs sold by 3:
3 * 63 = 189
So, the number of sodas sold is 189.
In conclusion, the vendor sold 189 sodas and 63 hot dogs.
To solve this problem, we can set up a system of equations. Let's represent the number of sodas sold as "s" and the number of hot dogs sold as "h".
From the given information, we know that the total number of sodas and hot dogs sold is 252:
s + h = 252 (Equation 1)
We are also given that the number of sodas sold is three times the number of hot dogs sold:
s = 3h (Equation 2)
Now we can solve this system of equations to find the values of s and h.
Substituting Equation 2 into Equation 1, we have:
3h + h = 252
Combining like terms, we get:
4h = 252
Dividing both sides by 4, we find:
h = 63
Now we can substitute this value of h back into Equation 2 to find s:
s = 3h
s = 3(63)
s = 189
Therefore, the number of sodas sold is 189, and the number of hot dogs sold is 63.
s = the number of sodas sold
h = the number of hot dogs sold
A vendor sold a combined total of 252 sodas and hot dogs means:
s + h = 252
The number of sodas sold was three times the number of hot dogs sold means:
s = 3 h
Put this value in equation:
s + h = 252
3 h + h = 252
4 h = 252
h = 252 / 4
h = 63
s = 3 h
s = 3 ∙ 63
s = 189
63 hot dogs and 189 sodas